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Finding the Fourth Proportional to 29,159.70, 43,728.69 and 22,931.88

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Solution

The fourth proportional to 29,159.70, 43,728.69 and 22,931.88 is: 34,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.70 : 43,728.69 = 22,931.88 : x
  2. Step 2: Convert to fraction form
    29,159.70/43,728.69 = 22,931.88/x
  3. Step 3: Cross multiply
    29,159.70x = 43,728.69 × 22,931.88
  4. Step 4: Simplify right side
    29,159.70x = 1,002,781,071.64
  5. Step 5: Solve for x
    x = 1,002,781,071.64/29,159.70
  6. Step 6: Final answer
    x = 34,389.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.